First, the overall satisfaction membership function of the group decision making is defined based on the allowable error given by the decision-maker respectively. Following that, a weight model is suggested for finding the maximal degree of the group preference satisfaction. Based on the suggested model, the consistency degree of the group preference is defined. Then, an alternation approach is proposed to improve the judgment of the low consistency degree of the decision-maker.

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Network; Polynomial algorithm; Balanced degree; Minimum balanced degree spanning tree; Minimum balanced degree point; Max-min spanning arborescence; Minimum ratio spanning arborescence

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